Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 332850: Tom's home is 1800m from his school. One morning he walked part of the way and then ran the rest. If it took him 20 min or less to get to school and he walks 70m/min and runs 210m/min how far did he run?
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Question 332978: In how many arrangements can 7 women and 7 men be placed in a line if the women and men alternate?
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Question 333358: How do you write the equation; divide the last 2 digits by 2?
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Question 332934: Sarah bought 8 folders and 3 rulers. Leah bought 3 folders and 8 rulers. If Sarah's total purchase was $1.25 more than Leah's, how much was each folder?
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Question 331123: HAVING TROUBLE WITH THIS PROBLEM MICHELLE RODE HER BICYCLE FROM HER HOUSE TO SCHOOL AT AN RATE OF 8 MILES PER HOUR. LATER THAT DAY , SHE RODE FROM SCHOOL BACK HOME ALONG THE SAME ROUTE AT AN AVERAGE SPEED OF 12 MILES PER HOUR. IF THE ROUND TRIP TOOK HER 1 HOUR, HOW MANY MILES LONG IS THE ROUND TRIP.
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Question 328791: Each coloured square has sides 3cm long. Find the lengths of the sides of the outer square, to the nearest millimeter. [Pythagorean Thereom]
Please help me, thank you!
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Question 333961: The product of 2 more than a number and 10 is 36 more than 8 times the number. What is the number?
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Question 334298: A square support unit in a television is made with a side measuring 10 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 10.3 centimeters. By how much will the area of the square be increased?
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Question 334981: The maximum healthy body fat percentage for a woman is 26%. If a woman weighs 150lb, what is the maximum number of pounds of fat should she have?
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Question 335115: The sum of two numbers is 91. One of the numbers is 9 more than the other. What are the numbers?
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Question 335187: A lamp is marked with a sale price of 23.80, which is 15% off the regular price. What is the regular price?
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Question 335307: If a car travels 280 miles at 55 mph, how many hours is that?
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Question 335457: luis weighs 5 pounds more than carla. carla weighs 2 pounds more than rita. together their weights total is 333 pounds how much does each weigh???
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Question 335445: a rectangle is 12 meters longer than it is wide. its perimeter is 68 meters. find its length and width.
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Question 335482: a rectangle is 12 meters longer than it is wide. its perimeter is 68 meters find its length and width.
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Question 335477: Luis weighs 54 more than carla. Carla weighs 2 pounds more than rita. Together their weights total 333 pounds. How much does each weigh?
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Question 335942: the gym is 21 years newer than the auditorium. the gym is also one fourth as old as an auditorium. how old is each building?
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Question 336536: A passenger train travels 295 mi in the same amount of time it takes a freight train to travel 225 mi. The rate of the passenger train is 14 mph greater than the rate of the freigh train. Find the rate of each train.
Distance Rate Time
passenger 295 14+r 295
14+r

freight 295 r 225 225
r

295 + 225 = ?
14+r r
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Question 336848: five times a number, decreased by two is equal to three times the difference of the number and three
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Question 336978: A quadrilateral has perimeter 60cm, and the lengths of its sides (in centimeters) are consecutive odd numbers.
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Question 337462: the perimeter of a rectangular garden is 56ft. The length is 4 more ft than the width. What are the dimensions of the garden?
the perimeter of a rectangular garden is 56ft. The length is 4 more ft than the width. What are the dimensions of the garden?
P=56
Equation:p=2L+2W
L=w+4
56 = 2(w+4)+2w
56 = 2w+8+2w
56 = 4w+8
56-8=4w+8-8
48=4w
48/4=4w/4
12=w is the width
Plug in equation above to get the length:
L=12+4=16

Click here to see answer by chiexpert(48)

Question 337467: the perimeter of a rectangular lot is 190 ft. the width of the lot is 15ft more than the length. what are the dimensions of the lot.
P=2L+2W
W=L+15
190=2L+2(L+15)
190=2L+2L+30
190-30=4L
160/4=L
40=L
W=40+15=55
DIMENSIONS IS 55 FEET BY 40 FEET.

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Question 337574: 32.00 dollars total bill. Jeans cost 10.00 dollars more than shirt. What did jeans cost?
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Question 337691: what is 180(n-2) translated into words?
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Question 337815: George is thinking of a number between 70 and 90. The sum of the digits is less than 12. The product of the digits is greater than 25. What is George's number?
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Question 338277: The total of 2 numbers is 35. Four times the larger number is 4 less than five times the smaller number. Find the two numbers.
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Question 338319: what are the dementions of matrices?
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Question 338508: If it takes Roger 60 minutes to paint a wall. It takes Stephanie 40 minutes to paint the same wall. How long will it take Roger and Stephanie to paint the wall if the work together?
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Question 338757: Hi i want to know how you get 18 from this word problem. The problem is The height of the flagpole is three fourths the height of the school. The difference in their heights is 4.5m. What is the height of the school? Choices for school's height:18,20,24
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Question 338853: In summer camp, counselors split the campers into 3,5 or 6 equal groups, but always ended up with 1 extra camper. Today, they split the campers into 7 equal sized groups, and no campers were left over. What is the smallest number of campers at this camp?
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Question 339639: 6 more than 3 times half of a number is 54. What is the number
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Question 339762: a five foot stick is cut so that one part is 2/3 of the other. how long, in inches is the shorter segment?
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Question 339663: A goat and a sheep can eat all the grass on a field in 90 days. A sheep and a cow can eat all the grass on the field in 60 days. A cow and a goat can eat all the grass on the field in 45 days. So...if I release all the animals on the field, how long will it take them to eat all the grass?
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Question 339920: Recently the cost of 14 6-oz jars of baby food was $8.96. what is the cost of one jar?
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Question 339966: Five times the product of 8 and a number
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Question 342112: Can you help me understand this word problem, I can't seem to figure it out. I am a 47 yr old going back to college and I haven't been in an algebra class in a long time. I have to write this in an algebraic expression. thanks for your help
A restaurant ordered four packages of paper napkins. yesterday they used up one package, and today they used up 140 napkins. Two packages plus 60 napkins remain. How many napkins are in each package.
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Question 342861: Hotels collect 4 percent sale tax on all sales. If the total sales including tax are 1058.30 find the portion that is the tax.
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Question 343240: The team played 75 games. They won 3 times the number. Find the number.
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Question 343277: seven more than four times a number is the same as five less than eight times the number what is the number
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Question 343459: Ben recently moved from southern California to northern Alaska. After consulting with a local mechanic, Ben realized that his car radiator fluid should consist of 70% antifreeze. Currently, his 4.5-L radiator is full, with a concentration of 40% antifreeze. How much coolant should be drained and filled with pure antifreeze to reach the desired concentration?

My answer:
I know that I need to find out how much coolant to drain and how much antifreeze to add.
let x= liters needed to drain
let 4.5-x=how much to add
(4.5-x)(.70)=(4.5-x)(.40)
315-70x=180-40x
135=30x
x=4.5
take 4.5 and divide by 2= 2.25Liters to drain and 2.25 Liters to fill
is this answer correct in how i solved it?
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Question 343461: What number gives a result of -2 when 11 is subtracted from the quotient of the number and 42?
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Question 343514: the larger of two numbers is seven times the smaller. if the sum of the two numbers exceeds the difference by 20, find out the numbers
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